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Finding the Fourth Proportional to 1,310.19, 1,965.57 and 616.86

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Solution

The fourth proportional to 1,310.19, 1,965.57 and 616.86 is: 925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.19 : 1,965.57 = 616.86 : x
  2. Step 2: Convert to fraction form
    1,310.19/1,965.57 = 616.86/x
  3. Step 3: Cross multiply
    1,310.19x = 1,965.57 × 616.86
  4. Step 4: Simplify right side
    1,310.19x = 1,212,481.51
  5. Step 5: Solve for x
    x = 1,212,481.51/1,310.19
  6. Step 6: Final answer
    x = 925.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.